Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502852 | Journal of Mathematical Analysis and Applications | 2005 | 14 Pages |
Abstract
Banach frames are defined by straightforward generalization of (Hilbert space) frames. We characterize Banach frames (and Xd-frames) in separable Banach spaces, and relate them to series expansions in Banach spaces. In particular, our results show that we can not expect Banach frames to share all the nice properties of frames in Hilbert spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Pete Casazza, Ole Christensen, Diana T. Stoeva,